CMS WEEKLY LESSON STRUCTURES

TEACHER: ___A. Winders__ SUBJECT: ___Acc. Math I__GRADE: 8 DATE:Aug 10-14, 2009______

UNIT: Characteristics of Functions
GPS Standard(s)/Element(s) (Include the number and standard/element): MA1A1. Students will explore and interpret the characteristics of functions, using graphs, tables, and simple algebraic techniques.
a.  Represent functions using function notation.
b.  Graph the basic functions where n = 1 to 3, , , and .
d. Investigate and explain the characteristics of a function: domain, range, zeros, intercepts, intervals of increase and decrease, maximum and minimum values, and end behavior.
e. Relate to a given context the characteristics of a function, and use graphs and tables to investigate its behavior.
Enduring Understandings: Students will understand that…
·  a function is a rule that associates each element X of a given set A with a corresponding element Y in a set B.
·  each element of A is associated with exactly one element of B.
·  for any two points in a plane, there is a unique line containing those points.
·  what distinguishes a line from other graphs is its constant rate of change.
UNIT ESSENTIAL QUESTION: What is a function?
MONDAY 8/10 / TUESDAY 8/11 / WEDNESDAY 8/12 / THURSDAY 8/13 / FRIDAY 8/14
LESSON EQ: What skills do I need in order to be successful in Acc. Math I? / LESSON EQ:
What are the characteristics of a function? / LESSON EQ: What is the relationship between the domain and range of a function? / LESSON EQ: What are the symbols we use to represent a function and its characteristics? / LESSON EQ:
What are parent Graphs?
ASSESSMENT:
Informal Questioning; Asking students to put the standards in their own words. / ASSESSMENT:
Quick check of students’ work/answers on completed problems. / ASSESSMENT:
Exit activity—Domain and Range Worksheet / ASSESSMENT:
Analysis of students’ answers on Parts 1 and 2 of “Exploring Functions w/Fiona” Task / ASSESSMENT:
Mini-Quiz over warm-up questions.
WARM-UP & OPENING: Review of Order of Operations; describe how spiral notebooks will be used. / WARM-UP & OPENING:
Continue Review of order of operations / WARM-UP & OPENING:
Review of independent/dependent variables / WARM-UP & OPENING:
Discuss how functions are named using an equation. / WARM-UP & OPENING:
Mini-Quiz over weekly warm-up problems
Introduce and identify parent graphs
INSTRUCTIONAL STRATEGIES:
Targeted questioning; cooperative learning; / Target questioning
cooperative learning./error analysis / Direct Instruction
performance task / Direct Instruction
Cooperative Learning
Performance task / Cooperative Learning
Performance Task
Guided practice
WORK SESSION:
Students will work with partners or small groups reviewing problems from Math 78. Pairs/small groups may collaborate to discuss different ways to work problems. / WORK SESSION:
Students will continue/complete activities from Monday. / WORK SESSION:
*Review of Functions Rules
*Identifying Domain and Range
*Writing a rule for a function
TEXTBOOK: lESSON 1.2, PP. 7-10 / WORK SESSION:
Begin working on “Exploring Functions with Fiona” performance task. Parts 1,2, and 3. Students will be working in cooperative groups / WORK SESSION:
Continue with parts 3 and 4 of “Fiona” Task working in groups. Compare answers with neighboring groups. Error analysis of responses.
Specialized /Differentiated Instruction:
I will work with individual students/groups that need extra help with problems / Working with groups to assess depth of knowledge/areas that need remediation / Students who demonstrate understanding of function rules will begin the opening activities of the State Performance task “Exploring Functions with Fiona” / Students who prefer to work alone and at a faster pace will be allow to do so, while I assist groups who need assistance / Students who prefer to work alone and at a faster pace will be allow to do so, while I assist groups who need assistance
CLOSING:
I will let students summarize the lesson with my input as needed. / CLOSING:
Students will discuss problems that they had difficulty with. / CLOSING:
Domain and Range worksheet
Domain and Range Worksheet for Aug 12.doc / CLOSING:
Summarize by asking “What does h(3) = 39 mean?” and “What other representations mean the same thing as h(3) = 39?”
HW: Mathematics 1 Workbook, p. p. 12-13, all prob. / CLOSING:
Summarize by plot points to discover graphs of parent functions.
ParentGraphs Task for Friday Aug 14.doc